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What is the specific heat of a substance if 373 J is required to raise the temperature of a 312 g sample by 15°C?

User Daniel Robinson
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1 Answer

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22 votes

Answer:

0.080 J/g °C

General Formulas and Concepts:

Thermodynamics

Specific Heat Formula: q = mcΔT

  • q is heat (in J)
  • m is mass (in g)
  • c is specific heat (in J/g °C)
  • ΔT is change in temperature (in °C)

Step-by-step explanation:

Step 1: Define

[Given] q = 373 J

[Given] m = 312 g

[Given] ΔT = 15 °C

[Solve] c

Step 2: Find Specific Heat

  1. Substitute in variables [Specific Heat Formula]: 373 J = (312 g)c(15 °C)
  2. Multiply: 373 J = (4680 g °C)c
  3. Isolate c: c = 0.079701 J/g °C

Step 3: Check

Follow sig fig rules and round. We are given 2 sig figs as our lowest.

0.079701 J/g °C ≈ 0.080 J/g °C

Topic: AP Chemistry

Unit: Thermodynamics

User Michal Boska
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